Emergent multiple mobility edges and reentrant localization in a quasiperiodic modulated dimerized Kitaev superconductor model

Abstract

We study a one-dimensional dimerized Kitaev superconductor model by considering a quasiperiodic modulation on the on-site potential term, where the same disorder is applied to the sublattice sites of a unit cell. This type of uniform quasiperiodic potential can also induce the topological Anderson insulator (TAI) phase, which is very similar to the staggered case. Through the inverse and normalized participation ratios, fractal dimension, and level spacing, we demonstrate that the TAIs host different types of intermediate bulk states. Particularly, we obtain a novel intermediate phase with coexisting extended, critical and localized states separated by multiple mobility edges. Moreover, we find that the quasiperiodic modulation can lead to reentrant localization transition.